Can I throw the stones during Hajj early or late in order to avoid the large crowds?

Short Answer

That is allowed if you are old, sick, or very weak. If you are young and health then it is disliked. On the 10th of Dhul Hijjah you can do it before sunrise or after sunset [but before dawn]. On the 11th, 12th, and 13th you can do it after sunset [but before dawn].

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Shaykh Mustafa Umar